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Finding the Fourth Proportional to 230,945.80, 346,418.70 and 197,120.20

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Solution

The fourth proportional to 230,945.80, 346,418.70 and 197,120.20 is: 295,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,945.80 : 346,418.70 = 197,120.20 : x
  2. Step 2: Convert to fraction form
    230,945.80/346,418.70 = 197,120.20/x
  3. Step 3: Cross multiply
    230,945.80x = 346,418.70 × 197,120.20
  4. Step 4: Simplify right side
    230,945.80x = 68,286,123,427.74
  5. Step 5: Solve for x
    x = 68,286,123,427.74/230,945.80
  6. Step 6: Final answer
    x = 295,680.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.